Question

If x square plus 8x plus q =(x plus k) Square find the value of k and q​

Answer 1

The value of k is 4 and q is 16.

Explanation:

First, you have to expand the brackets by applying :

`{(a + b)}^(2) = {a}^(2) + 2ab + {b}^(2)`

`{x}^(2) + 8x + q = {(x + k)}^(2)`

`{x}^(2) + 8x + q = {x}^(2) + 2kx + {k}^(2)`

Next, you have to do it by comparison :

`{x}^(2) + 8x + q = {x}^(2) + 2kx + {k}^(2)`

`by \: comparison`

`8x = 2kx`

`8 = 2k`

`k = 4`

`q = {k}^(2)`

`q = {4}^(2)`

`q = 16`